2. Gasoline costs $1.99 per gallon. The price per gallon increases an average of 6%per month. a. Write an exponential growth model b. What is the price per gallon of gasoline after of the price of a gallon of gasoline after 14 months? (dollars) as a function of x months.

The expression that represents the price as a function of months is "gas (x) = 1.99 * (1.06) ^x" and after 14 months the price will be "gas (14) = 4.4992"

Step-by-step explanation:

Since it grows at a rate of 6% every month, then it starts as:

gas (0) = 1.99

On the first month:

gas (1) = gas (0) * (1.06)

On the second month:

gas (2) = gas (1) * 1.06 = gas (0) * (1.06) * 1.06 = gas (0) * (1.06) ²

And so on. So the price growth can be modelled by the following expression:

gas (x) = gas (0) * (1.06) ^x

Where x is the number of the month.

After 14 months the price will be:

gas (14) = 1.99 * (1.06) ^14 = 4.4992